66953796 has 144 divisors (see below), whose sum is σ = 206458560. Its totient is φ = 16692480.

The previous prime is 66953791. The next prime is 66953797. The reversal of 66953796 is 69735966.

It is not an unprimeable number, because it can be changed into a prime (66953791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145006 + ... + 145466.

It is an arithmetic number, because the mean of its divisors is an integer number (1433740).

Almost surely, 2^66953796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66953796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103229280).

66953796 is an abundant number, since it is smaller than the sum of its proper divisors (139504764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66953796 is a wasteful number, since it uses less digits than its factorization.

66953796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 51.

The square root of 66953796 is about 8182.5299266181. The cubic root of 66953796 is about 406.0614255060.

The spelling of 66953796 in words is "sixty-six million, nine hundred fifty-three thousand, seven hundred ninety-six".